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Finding the Fourth Proportional to 1,060.18, 1,590.33 and 410.83

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Solution

The fourth proportional to 1,060.18, 1,590.33 and 410.83 is: 616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.18 : 1,590.33 = 410.83 : x
  2. Step 2: Convert to fraction form
    1,060.18/1,590.33 = 410.83/x
  3. Step 3: Cross multiply
    1,060.18x = 1,590.33 × 410.83
  4. Step 4: Simplify right side
    1,060.18x = 653,355.27
  5. Step 5: Solve for x
    x = 653,355.27/1,060.18
  6. Step 6: Final answer
    x = 616.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.